Common structures of optimal solutions for a crop irrigation problem under various constraints and criteria *
We consider a simplified crop irrigation model written as a non-autonomous, non-smooth controlled system. Different operating contexts and objectives lead to the study of optimal control problems with various state constraints, criterion and targets. We look for feedback solutions and we derive the optimality necessary conditions for the unified formulation. We show that there are only two parametrized time-varying feedback strategies consisting of the best and the worst practices, independent of the chosen objective, and suitable for numerical analysis.
Authors
- Bruno Cheviron
- Alain Rapaport (ORCID: https://orcid.org/0000-0002-8515-0838)
- Ruben Chenevat (ORCID: https://orcid.org/0009-0004-0297-7584)
- Sébastien Roux (ORCID: https://orcid.org/0000-0002-7794-4603)
Institutions
- Centre de Coopération Internationale en Recherche Agronomique pour le Développement (FR)
- Université de Montpellier (FR)
- AgroParisTech (FR)
- Institut Agro Montpellier (FR)
- Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement (FR)
- Gestion de l'Eau, Acteurs, Usages (FR)
- Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie (FR)
- Institut Agro Montpelier (FR)
- Bureau de Recherches Géologiques et Minières (FR)
- Institut de Recherche pour le Développement (FR)
- L'Institut Agro (FR)
Publication Details
- Published
- 2024-12-16
- DOI
- https://doi.org/10.1109/cdc56724.2024.10886226
- Primary Topic
- Irrigation Practices and Water Management
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Labex